ICMS

Mathematical Relativity

Sep 1, 2010 - Sep 7, 2010

JCMB, King's Buildings, Edinburgh EH9

Organisers

Name	Institution
Blue, Pieter	University of Edinburgh
Chrusciel, Piotr	University of Vienna
Tod, Paul	University of Oxford

The focus of interest of the workshop is on recent developments in the understanding of the mathematical structure of general relativity, with an emphasis on global properties of solutions of Einstein equations.

There is a strong motivation from physics to deepen our understanding of GR in that the gravitational wave detectors in Germany, Italy, Japan and the USA have started collecting data. Deeper insights into the mathematical structure of the theory are also required to underwrite reliable numerical simulations of the expected gravitational wave data. In parallel with this, there have been important developments in the mathematics of general relativity in recent years, and some very long-standing problems may be close to solution.

In this workshop, we aim to bring together several key researchers in the field, to explore these issues, discuss existing approaches, and devise new problem-solving strategies.

The list of speakers will include Yvonne Choquet-Bruhat, Erwan Delay, Christopher Fewster, Pau Figueras, Carsten Gundlach, Gustav Holzegel, Lan-Hsuan Huang, Jim Isenberg, James Lucietti, Lionel Mason, Harvey Reall, Michael Reiterer, Jared Speck, James Vickers, Toby Wiseman and Willie Wong. Further speakers will be announced nearer to the date of the workshop.

Arrangements

Participation
Registration is by invitation only. If you are interested in attending, please contact Helene Frossling by e-mail helene[dot]frossling[at]icms[dot]org[dot]uk. Please note that late registrations have to fund their own travel and accommodation.

Venue
The workshop will take place in James Clerk Maxwell Building (JCMB) at King's Buildings by Mayfield Road. In JCMB, we will be using lecture theatre C, which is on level 3. Our breakout space will be the MathsHub on level 5 (room 5312. Please note that due to health and safety reasons, JCMB including the MathsHub will only be available to delegates during office hours. This map shows the location of King's Buildings in relation to the workshop accommodations, and _{this map} show King's Buildings. JCMB is building 13.

Registration
Registration takes place on Wednesday 1 September 08.45-09.30 on level 3 of JCMB. If you are unable to make it to registration during that time, please see Helene Frossling during one of the morning coffee breaks.

Administrative support

Helene Frossling will be available during the morning coffee breaks all days.

Travel
From the airport, you can catch the airport bus Airlink to the city centre. It will cost you GBP 3.50 for a single ticket, or GBP 6.00 return. More details on http://www.flybybus.com. The bus will take you to Waverley Bridge (outside Waverley Station) from where you can get a taxi to the workshop venue or to the accommodation. You can also get a taxi from the airport, from the taxi rank which is outside the domestic terminal. A taxi to the accommodation will be between GBP 16.00 and 25.00. Not all drivers accept card payment, so either bring cash or ask the driver beforehand.

Programme

Wednesday 1 September

08.45 - 09.30	Registration and coffee
	Chair: Paul Tod
09.30 - 10.30	Yvonne Choquet-Bruhat (Academie des Sciences) Solution of the Einstein equations with initial data on a characteristic cone
10.30 - 11.00	Coffee (served outside lecture theatre C)
11.00 - 12.00	Michael Reiterer (ETH Zuerich) The BKL conjectures for spatially homogeneous spacetimes
12.00 - 13.30	Lunch (served outside lecture theatre C)
	Chair: Helmut Friedrich
13.30 - 14.30	Christopher Fewster (University of York) Energy conditions in quantum field theory
14.30 - 15.00	Coffee (served outside lecture theatre C)
15.00 - 15.30	Lan-Hsuan Huang (Columbia University) Specifying the angular momentum and center of mass for vacuum spacetimes
15.30 - 16.00	Jared Speck (University of Cambridge) The nonlinear stability of the Maxwell-Born-Infeld system

Thursday 2 September

	Chair: Yvonne Choquet-Bruhat
09.30 - 10.30	Jim Isenberg (University of Oregon) On the stability of expanding cosmological solutions of the Einstein-Maxwell-Scalar field equations
10.30 - 11.00	Coffee (served outside lecture theatre C)
11.00 - 12.00	James Vickers (University of Southampton) Non-linear generalised functions and applications in general relativity
12.00 - 13.30	Lunch
	Chair: Paul Tod
13.30 - 14.30	Lionel Mason (University of Oxford) Asymptotically De Sitter Einstein-Weyl spaces download presentation
14.30 - 15.00	Coffee (served outside lecture theatre C)
15.00 - 15.30	Willie Wong (University of Cambridge) On regular hyperbolicity and the Skyrme model
15.30 - 16.00	Mikolaj Korzynski (Max Planck Institute for Gravitational Physics) Coveriant coarse-graining of inhomogenous matter flow in General Relativity

Friday 3 September

	Chair: Piotr Bizon
09.30 - 10.30	Pau Figueras (University of Durham) Instabilities of higher dimensional black holes download presentation
10.30 - 11.00	Coffee (served outside lecture theatre C)
11.00 - 12.00	Harvey Reall (University of Cambridge) Instabilities of higher dimensional rotating black holes download presentation
12.00 - 13.30	Lunch
	Chair: Juan Valiente-Kroon
13.30 - 14.30	James Lucietti (Imperial College London) Higher dimensional near-horizon geometries download presentation
14.30 - 15.00	Coffee (served outside lecture theatre C)
15.00 - 15.30	Hideo Igushi (Nihon University) Properties of Black Di-ring download presentation
15.30 - 16.00	Mark Durkee (University of Cambridge) Geodesity of WANDs in higher-dimensional gravity download presentation
16.10 - 16.30	Shinya Tomizawa (KEK) A uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity

Saturday 4 September

	Chair: Piotr Chrusciel
09.30 - 10.30	Gregory Galloway (University of Miami) Topological censorship
10.30 - 11.00	Coffee (served outside lecture theatre C)
11.00 - 12.00	Gustav Holzegel (Princeton University) Asymptotic behavior of spacetimes approaching a Schwarzschild solution download presentation

Monday 6 September

	Chair: Robert Beig
09.30 - 10.30	Paul Tod (University of Oxford) On non-existence of asymptotically-flat, time-periodic solutions in GR
10.30 - 11.00	Coffee (served outside lecture theatre C)
11.00 - 12.00	Mihalis Dafermos (University of Cambridge) The black hole stability problem download presentation
12.00 - 13.30	Lunch
	Chair: James Vickers
13.30 - 14.30	Mark Heinzle (University of Vienna) CMC-slicings in Schwarzschild-de Sitter and Kantowski-Sachs spacetimes download presentation
14.30 - 15.00	Coffee (served outside lecture theatre C)
15.00 - 15.30	Erwann Delay (University of Avignon) Others applications to the Corvino-Schoen method download presentation
15.30 - 16.00	Thomas Backdahl (Queen Mary, University of London) A geometric invariant measuring the deviation from Kerr data download presentation
19.00	Workshop dinner at Blonde Restaurant, 71-75 St Leondard's Street

Tuesday 7 September

	Chair: Pieter Blue
09.30 - 10.30	Carsten Gundlach (University of Southampton) Weak solutions of elastic matter in general relativity download presentation
10.30 - 11.00	Coffee (served outside lecture theatre C)
11.00 - 12.00	Toby Wiseman (Imperial College London) Asymptotics in a Lambda-CDM universe download presentation
12.00 - 13.30	Lunch (served outside lecture theatre C)
	Chair: James Isenberg
13.30 - 14.30	John Stalker (Trinity College Dublin) How much mass can you fit in a sphere? download presentation
14.30 - 15.00	Coffee (served outside lecture theatre C)
15.00 - 15.30	Jan Holland (University of Cardiff) Black hole horizon topology in higher dimensions download presentation
15.30 - 16.00	Christian Luebbe (Queen Mary, University of London) Stability for radiative spacetimes download presentation

The above programme may be changed without prior notification. Last change 30 August 2010.

Presentations:

Presentation Details
Backdahl, Thomas
A geometric invariant measuring the deviation from Kerr data
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A geometrical invariant for regular asymptotically Euclidean data for the vacuum Einstein field equations is constructed. This invariant vanishes if and only if the data corresponds to a slice of the Kerr black hole spacetime ---thus, it provides a measure of the "non-Kerrness" of generic data. In order to proceed with the construction of the geometric invariant, we introduce the notion of approximate Killing spinors.
Choquet-Bruhat, Yvonne
Solution of the Einstein equations with initial data on a characteristic cone
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We use a wave-map gauge to write a geometric decomposition of the Einstein equations as the sum of a tensorial hyperbolic system for a metric g of an n+1 dimensional spacetime (V,g) and linear equations acting on a vector H which vanishes when the identity map is a wave map from (V,g) onto some given spacetime which we take to be Minkowski. We show, generalizing previous work of Rendall and Damour for n=3, harmonic coordinates, and intersecting null surfaces, that given a cone C and a degenerate quadratic form induced on C by a given Lorentzain metric there exist a set of ordinary linear differential equations which we call the wave-map gauge constraints, which determine the trace on C of any Lorentzian metric inducing the same quadratic form and satisfying the vacuum Einstein equations. We write and solve these constraints and show local geometric uniqueness of an Einsteinian spacetime having this trace on C. We show its existence modulo appropriate functional hypotheses. Collaboration with Piotr Chrusciel and Jose Martin Garcia
Delay, Erwann
Others applications to the Corvino-Schoen method
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One can generalize the Corvino-Schoen method in order to construct compactly supported smooth solutions to a large class of undetermined elliptic equations of any order. As an example one can "truncate" or "glue" smoothly divergence free fields or TT-tensors.
Durkee, Mark
Geodesity of WANDs in higher-dimensional gravity
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In 4 dimensions, the Petrov classification and Newman-Penrose formalism have for many years proved a useful tool in studying various aspects of general relativity, for example in the construction of the Kerr solution, and the study of its linearized perturbations. In recent years, a higher-dimensional version has been developed by Coley, Milson, Pravda and Pravdova (CMPP) and others, based around so-called Weyl-Aligned Null Directions (WANDs). This talk will give an introduction to the CMPP formalism, discuss some possible applications, before describing some recent results on the geodesity of WANDs in arbitrary dimension. (see arXiv:0908.2771)
Fewster, Christopher
Energy conditions in quantum field theory
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Many theorems of mathematical relativity employ the classical energy conditions among their hypotheses. These conditions are violated in quantum field theory, but there are remnants, known as quantum energy inequalities. In this talk I will give a review of QEIs and their significance for gravitational physics and will report on recent work with LH Ford and TA Roman concerning the probability distribution of individual measurements of smeared stress-energy tensors.
Figueras, Pau
Instabilities of higher dimensional black holes
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The four-dimensional Kerr black hole is believed to be stable under linear gravitational perturbations. On the other hand, higher dimensional asymptotically flat vacuum rotating black holes were expected to be generically unstable. In this talk I will discuss the progress made during the last year in finding these instabilities. In particular, I will discuss the nature of these instabilities for both the singly spinning black holes and those black holes with all the angular momenta equal. In the former case, I will argue that the instabilities lead to black holes with deformed horizons and, when evolved into the full non-linear regime, they should connect to other black holes with non-spherical horizons. For the equal angular momenta black holes case, I will show that the instabilities lead to new stationary black holes with a single rotational symmetry, and hence saturating the higher dimensional rigidity theorem.
Galloway, Gregory
Topological censorship
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We review the classical results on topological censorship and discuss some recent developments involving in particular joint work with Piotr Chrusciel and Didier Solis.
Gundlach, Carsten
Weak solutions of elastic matter in general relativity
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Formulations of elastic matter in general relativity have been considered by a number of authors, and the Newtonian elastic matter equations have been cast into conservation law form. I present a tentative combination of the two approaches with the aim of defining weak solutions in GR elasticity. Stress-energy conservation is complemented by conservation laws that guarantee the absence of dislocations.
Heinzle, Mark
CMC-slicings in Schwarzschild-de Sitter and Kantowski-Sachs spacetimes
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We investigate slicings of the Kottler-Schwarzschild-de Sitter spacetime and related Kantowski-Sachs spacetimes by hypersurfaces of constant mean curvature. Since the timelike convergence condition (strong energy condition) does not hold, we find a rich structure: The range of the mean curvature is restricted, uniqueness of the slicings need not hold, and the slicings need not be foliations.
Holland, Jan
Black Hole Topology in Higher Dimensions
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It is well known that stationary black holes in 4-dimensional general relativity have spherical horizon topology. The discovery of the Emparan-Reall Black Ring, however, has shown that this uniqueness theorem does not carry over to higher dimensions. In this talk, recently found restrictions on the possible horizon topology of stationary black holes in 5 spacetime dimensions will be discussed. If time permits, I will also comment on the topology of near horizon geometries.
Holzegel, Gustav
Asymptotic behavior of spacetimes approaching a Schwarzschild solution
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Consider a spacetime which approaches a Schwarzschild solution. We will discuss the following problem: Assuming decay of appropriate norms of the Ricci rotation coefficients and their derivatives, can one prove boundedness/ decay for the curvature components and their derivatives? The talk will give a positive answer to this question and explain some of the difficulties arising from the fact that not all curvature components decay. As an important ingredient, we generalize recent work of Dafermos and Rodnianski regarding decay for the wave equation to the setting of the Bianchi equations.
Huang, Lan-Hsuan
Specifying the angular momentum and center of mass for vacuum spacetimes
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Given a vacuum initial data set, we construct another vacuum initial data set whose mass and linear momentum are close to the original one but with angular momentum and center of mass arbitrarily specified. In particular, our construction shows that the positive energy theorem is the only restriction on these physical conserved quantities. It is known that a certain mass-angular momentum inequality holds for axisymmetric initial data sets. Our construction says that, however, the inequality does not hold generally. This is a joint work with Rick Schoen and Mu-Tao Wang.
Iguchi, Hideo
Properties of Black Di-ring
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We study the stationary asymptotically flat five-dimensional vacuum solution describing black di-ring: two concentric black rings. The solution is constructed by using the solitonic solution generating technique. In this talk we introduce an outline of solution generating methods to construct the black di-ring solution. We investigate several properties of black di-ring. The investigation for the phase structure of black di-ring shows the infinite non-uniqueness of the solution. We find the black di-ring in thermodynamic equilibrium in which the rings have the same temperature and angular velocity.
Isenberg, Jim
On the Stability of Expanding Cosmological Solutions of the Einstein-Maxwell-Scalar Field Equations
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We generalize Ringstrom's global stability results for expanding cosmological solutions of the Einstein-scalar field equations to solutions of the Einstein-Maxwell-scalar field system. In particular, we prove that if one is given initial data close enough to that for certain power law type inflationary solutions to the Einstein-Maxwell-scalar field system on an open subset U of the initial slice, then all causal geodesics starting from an open subset of U are future complete in the maximal globally hyperbolic development of the given initial data. Joint work with Xianghui Luo
Lucietti, James
Higher dimensional near-horizon geometries
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For any space-time with a degenerate horizon one can define (via a limiting process) an associated space-time called the near-horizon geometry. Classifying near-horizon geometries is an important step in proving uniqueness/classification theorems for stationary extremal black holes. I will discuss general aspects of near-horizon geometries in four and higher dimensions, such as symmetry enhancement, horizon topology and their explicit classification (focusing on vacuum solutions). I will also briefly describe how near-horizon geometries play a key role in establishing the recent uniqueness theorems for extremal vacuum black holes in four and five dimensions. Finally, I will present a recent construction of an infinite class of vacuum near-horizon geometries in higher than five dimensions, which have novel horizon topology and include examples with just one rotational symmetry.
Luebbe, Christian
Stability for radiative spacetimes
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I present recent work in collaboration with J.A. Valiente-Kroon, in which we investigate the semi-global stability near future time-like infinity for radiative spacetimes. I consider spacetimes with vacuum or Einstein Maxwell constructed from specifying their series of multipoles. The analysis will be based on conformal geodesics for the vacuum case, and more general conformal curves for the matter case. These curves will allow to prescribe the location of future time-like/null infinity prior to the evolution.
Mason, Lionel
Asymptotically De Sitter Einstein-Weyl spaces
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We show that conformally compact, globally hyperbolic, Lorentzian Einstein-Weyl 3-manifolds are in natural one-to-one correspondence with orientation-reversing diffeomorphisms of the 2-sphere. The proof hinges on a holomorphic-disk analog of Hitchin's mini-twistor correspondence. Applications to Zoll metrics on surfaces are also given. (Cohomogeneity-2 lecture would concern twistor approaches to existence & uniqueness for co-homogeneity 2 black holes and instantons but the results are less definitive.)
Reall, Harvey
Instabilities of higher dimensional rotating black holes
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I shall discuss recent progress in the study of linearized gravitational perturbations of higher dimensional rotating black holes.
Reiterer, Michael
The BKL Conjectures for Spatially Homogeneous Spacetimes
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I will discuss recent joint work with E. Trubowitz, in which we rigorously construct and control a generic class of spatially homogeneous (Bianchi VIII and Bianchi IX) vacuum spacetimes that exhibit the oscillatory BKL phenomenology.
Speck, Jared
The Nonlinear Stability of the Maxwell-Born-Infeld System
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The Maxwell-Born-Infeld (MBI) system is a nonlinear model of classical electromagnetism that was introduced in the 1930s. It is the unique model that is derivable from an action principle and that satisfies 5 physically compelling postulates. In this talk, I will use an electromagnetic gauge invariant framework to establish the existence of small-data global solutions to the MBI system on the Minkowski space background in 1 + 3 dimensions. The nonlinearities in the PDEs satisfy a version of the null condition, which means that they have a special algebraic structure that precludes the presence of the "worst possible combinations" of terms. As a consequence, we are also able to show that the global solutions have exactly the same decay properties as solutions to the linear Maxwell-Maxwell system, which were derived by Demetrios Christodoulou and Sergiu Klainerman (1990). Our results complement the large-data blowup results for plane-symmetric MBI solutions, which were shown first by Yann Brenier (2002), and later by J. Speck (2008). As a byproduct of our analysis, we also show that the MBI system is hyperbolic in all field-strength regimes where the equations are well-defined.
Stalker, John
How much mass can you fit in a sphere?
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In spherically symmetric spacetimes which look, at least topologically, like Minkowski space, restrictions on the eigenvalues of the Einstein tensor lead to bounds on 2m/r, where m is the Hawking mass and r is the areal radius. The most famous such bound is that of Penrose, that 2m/r < 1 when the Einstein tensor satifies the dominant energy condition, but better bounds can be proved under stronger assumptions on the Einstein tensor, including a number of physical interest. I will discuss recent work by myself and Paschalis Karageorgis which gives a uniform method of obtaining such bounds in the static case. I will also discuss related work and possible extensions.
Tod, Paul
On non-existence of asymptotically-flat, time-periodic solutions in GR
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We show that all weakly-asymptotically-simple solutions of the vacuum equations of GR with a time-periodicity which extends to scri and which are analytic near scri are in fact stationary near scri. The proof is a modification of an earlier argument due to Gibbons and Stewart, and extends to the Einstein-Maxwell theory and some cases of Einstein-scalar-field. The proof adapts to prove ‘inheritance’ in these cases, i.e. if the metric is stationary then so are the matter fields. (Based on joint work with Bicak and Scholtz, arXiv 1003.3402, 1008.0248.)
Tomizawa, Shinya
A uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity
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We show a uniqueness theorem for charged rotating black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and spherical topology of horizon cross-sections, we prove that an asymptotically flat, stationary charged rotating black hole with finite temperature in five-dimensional Einstein-Maxwell-Chern-Simons theory is uniquely characterized by the mass, charge, and two independent angular momenta. Joint work with Yukinori Yasui and Akihiro Ishibashi
Vickers, James
Non-linear Generalised Functions and applications in General Relativity
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In the standard approach to singularities (see e.g. Hawking and Ellis, 1973), a singularity is regarded as an obstruction to extending a geodesic. However this definition does not correspond very closely to ones physical intuition of a singularity. This led to a consideration of whether physical objects would be subjected to unbounded deformations as one approached the singularity and was formulated mathematically in terms of strong curvature conditions. Unfortunately it is hard to model the behaviour of real physical objects in a strong gravitational field and because of this Clarke (1998) suggested that one should consider instead the behaviour of physical fields (for which one has a precise mathematical description) near the singularity. According to the philosophy of ‘generalised hyperbolicity’ one should regard singularities as obstructions to the Cauchy development of these fields rather than an obstruction to the extension of geodesics. However even a mild singularity is an obstruction if one uses the standard theory of distributions. By considering solutions to the wave equation in the Colombeau algebra one finds a certain class of weak singularities do not prevent the evolution of test fields (Vickers and Wilson, 2000). One would therefore like to regard such weak singularities as being part of the spacetime. In order to do this one needs to show that Einstein’s equations are satisfied in some distributional sense at the singularity. Again this is possible for only a very limited class of singularities if one uses conventional distribution theory but by using non-linear generalised function one can calculate the curvature for a much larger class (Clarke et al, 1996). For a review see (Steinbauer and Vickers 2008). General Relativity is of course a coordinate invariant theory, so that one needs to show that the results of using non-linear generalised functions do not depend upon the coordinate system used. This has been done explicitly for calculations involving a conical metric (Vickers and Wilson, 1999) but more generally one would like to have a theory of non-linear functions on manifolds which is explicitly coordinate invariant. Building on earlier work of Colombeau and Meril (1994) and Jelinek (1999) such a theory has recently been given by Grosser et al (1999). The way that this can be developed to give a theory of distributional geometry in further work by Grosser et al (2009) will also be briefly described. Hawking S W and Ellis G F R, ‘The large scale structure of space-time’ (Cambridge University Press), (1973) Clarke C J S, ‘Generalised hyperbolicity in singular spacetimes’ Class. Quantum Grav. 15 975–84 (1998) Vickers J A and Wilson J P, ‘ Generalised hyperbolicity in conical space-times’ Class. Quantum Grav. 17 (2000) Clarke C J S, Vickers J A and Wilson J P, ‘Generalised functions and distributional curvature of cosmic strings’ Class. Quantum Grav. 13 2485–98 (1996) Steinbauer R and Vickers J A ‘ The use of generalised functions and distributions in general relativity’ Class. Quantum Grav. 23 R91-R114 (2006) Vickers J A and Wilson J P, ‘Invariance of the distributional curvature of the cone under smooth diffeomorphisms’ Class. Quantum Grav. 16 579–88 (1999) Colombeau J F, Meril A, ‘Generalized Functions and Multiplication of Distributions on C1 Manifolds’, J.Math.Analysis Appl. 186, 357–364 (1994) Jel´ınek J, An intrinsic definition of the Colombeau generalized functions, Comment. Math. Univ. Carolinae (1999) Grosser M, Kunzinger M, Steinbauer R and Vickers J A, ‘A global theory of algebras of generalized functions’ Advances in Mathematics, 166, 50-72. (2002) Grosser M, Kunzinger M, Steinbauer R and Vickers J A, ‘A global theory of algebras of generalized functions II: tensor distributions Preprint; arXiv:math.FA 0902.1865
Wiseman, Toby
Asymptotics in a Lambda-CDM universe
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I will discuss the asymptotic behaviour of a general inhomogeneous and anisotropic Lambda-CDM cosmology, under the assumption that the dynamics becomes Lambda dominated. Using Starobinsky's method I will construct the general solution as a late time expansion about de Sitter, and then show how to resum the expansion to give a more powerful result that describes a late time expansion about FLRW. I will discuss some physical observables computed from the expansion.
Wong, Willie Wai-Yeung
On regular hyperbolicity and the Skyrme model
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I will discuss some recent work with Jared Speck on local well-posedness of quasilinear equations satisfying Christodoulou's regular hyperbolicity condition. As an application we obtain a characterization of the hyperbolic domain (in state space) for the classical Skyrme model, sharpening an earlier result of Crutchfield and Bell. Inside the hyperbolic domain (which includes a neighborhood of any minimizing topological soliton, should they exist), this analysis gives local existence, uniqueness, and continuous dependence on (sufficiently smooth) initial data for the Cauchy problem.

Participants

Name	Institution
Aksteiner, Steffen	Zarm Universität Bremen
Andersson, Lars	Albert Einstein Institute
Avila, Gastón	Albert Einstein Institut
Backdahl, Thomas	Queen Mary, University of London
Beig, Robert	University of Vienna
Bizon, Piotr	Jagiellonian University
Blue, Pieter	University of Edinburgh
Choquet-Bruhat, Yvonne	Academie des sciences
Chrusciel, Piotr	University of Vienna
Cortier, Julien	Université Montpellier 2
Dafermos, Mihalis	Univeristy of Cambridge
Delay, Erwann	University of Avignon
Durkee, Mark	University of Cambridge
Fewster, Christopher	University of York
Figueras, Pau	University of Cambridge
Friedrich, Helmut	Max-Planck-Institut fuer Gravitationsphysik
Galloway, Gregory	University of Miami
García-Parrado Gómez-Lobo, Alfonso	Universidade do Minho
Gundlach, Carsten	University of Southampton
Heinzle, Mark	University of Vienna
Hennig, Jörg	AEI Golm
Holland, Jan	University of Cardiff
Holzegel, Gustav	Princeton University
Huang, Lan-Hsuan	Columbia University
Iguchi, Hideo	Nihon University
Isenberg, Jim	University of Oregon
Korzynski, Mikolaj	Max Planck Institute for Gravitational Physics
Lucietti, James	Imperial College London
Luebbe, Christian	Queen Mary, University of London
Mason, Lionel	University of Oxford
Metzner, Norman	University of Oxford
Reall, Harvey	University of Cambridge
Reiterer, Michael	ETH Zurich
Singer, Michael	University of Edinburgh
Speck, Jared	University of Cambridge
Stalker, John	Trinity College Dublin
Tod, Paul	University of Oxford
Tomizawa, Shinya	KEK
Valiente Kroon, Juan Antonio	Queen Mary, University of London
Vickers, James	University of Southampton
Wiseman, Toby	Imperial College London
Wong, Willie Wai-Yeung	University of Cambridge